{"as_of":"2026-08-19T17:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:967f169519280315b011e2841924e94ed9d5678ae61d5bd070cdef53255340ff","coverage":[{"denominator":17,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":17,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T22:16:35.999438Z","state":"measured"},{"denominator":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T10:49:58.508035Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-16T10:49:58.728734Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","version":1},"cited_work":{"arxiv_id":"2412.03770","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.03770","snapshot_observed_at":"2026-08-16T10:49:58.728734Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","venue":"math.AP","work_id":"b9670f3a-c018-4392-a7de-22272d265e13","year":2024},"citing_paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-16T10:49:58.508035Z"},"links":{"cited_paper":"/paper/2412.03770","citing_paper":"/paper/2504.17383"},"observation_digest":"sha256:05ceb2aff86bab6ee80396310b560960e70ea5fa02a933d9c95f541cf86dcbde","observation_id":"525bc776-7747-4c0e-99f6-9272a794eafe","resolution":{"observed_at":"2026-08-16T10:49:58.733503Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.03770/citation-record","integrity":"/paper/2412.03770/integrity","json":"/paper/2412.03770/citation-record.json","paper":"/paper/2412.03770"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:16:36.255717Z","title":"and Kim, K.: A Hölder estimate with an optimal t ail for nonlocal parabolic p-Laplace equations, Annali di Matematica, 203 (2024), 109–147","venue":null,"work_id":"85012d23-d289-4edd-be2a-e55a18473349","year":2024},"citing_paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T22:16:35.926918Z"},"links":{"citing_paper":"/paper/2412.03770"},"observation_digest":"sha256:57ad433ca22eb4218af695090d7409cd0912b0fb9393afa6292668173ef9a079","observation_id":"85c5b356-d462-40ae-8bbe-cf4b5435edd2","resolution":{"observed_at":"2026-08-11T22:16:36.261567Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:16:36.240662Z","title":"and Strömqvist, M.: Continuity of solutions to a nonlinear fractional diﬀusion equation, J","venue":null,"work_id":"f436095b-3d27-4983-9412-2205c9934e05","year":2021},"citing_paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T22:16:35.932621Z"},"links":{"citing_paper":"/paper/2412.03770"},"observation_digest":"sha256:42da88c85378fc66a89c4e8f8bd273bf83f85b00792dd774035b953d972e5e99","observation_id":"5f9c04d2-730e-420e-8ba3-248a587f1093","resolution":{"observed_at":"2026-08-11T22:16:36.246774Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:16:36.225682Z","title":"and Wang, J.: Elliptic Harnack i nequalities for symmetric non-local Dirichlet forms, J","venue":null,"work_id":"a484928e-ee62-4b58-b403-e10be8f3b89d","year":2019},"citing_paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T22:16:35.938389Z"},"links":{"citing_paper":"/paper/2412.03770"},"observation_digest":"sha256:7996b976b63693bf05b0878e44d246e5eb26d9e76d292e649dbd490a20b63740","observation_id":"b47bd3ca-c953-44d1-a971-e6a5d7b4ce16","resolution":{"observed_at":"2026-08-11T22:16:36.229812Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:16:36.212973Z","title":"and Wang, J.: Stability of parab olic Harnack inequalitiess for symmetric non-local Dirich let forms, J","venue":null,"work_id":"1d525a69-696d-495e-8c4d-2ce96a21293f","year":2020},"citing_paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T22:16:35.942551Z"},"links":{"citing_paper":"/paper/2412.03770"},"observation_digest":"sha256:ba3517abd1ed6bc672fbb77addde4150d4c8b79877142eba8f7a0407e8821740","observation_id":"34e4c3b6-137a-464e-a1dc-825486178bb5","resolution":{"observed_at":"2026-08-11T22:16:36.217279Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:16:36.200318Z","title":null,"venue":null,"work_id":"b96340d0-d2bc-4091-8b39-0a6b32475303","year":2017},"citing_paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T22:16:35.947186Z"},"links":{"citing_paper":"/paper/2412.03770"},"observation_digest":"sha256:d1fdae1b8e77848b14765380c2f87114a16cea3a095ac319c15443099cef61d7","observation_id":"1548186e-03ad-4dea-9056-dbcd896510a4","resolution":{"observed_at":"2026-08-11T22:16:36.204343Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:16:36.182831Z","title":"and Palatucci, G.: Local behavio r of fractional p-minimizers, Ann","venue":null,"work_id":"ba6ecb98-15df-4341-acd7-e3f1955e8945","year":2016},"citing_paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T22:16:35.951513Z"},"links":{"citing_paper":"/paper/2412.03770"},"observation_digest":"sha256:5dd33eeea099fbbd76b1b3af900991fb44d76c671483fe848e3707f623c33708","observation_id":"a8ce45f2-0e23-48ac-bc9a-871283a88cc1","resolution":{"observed_at":"2026-08-11T22:16:36.187936Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:16:36.168757Z","title":"and Palatucci, G.: Nonlocal Harn ack inequalities, J","venue":null,"work_id":"002165ad-416e-41ae-b0d2-1a89fc65c961","year":2014},"citing_paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T22:16:35.955994Z"},"links":{"citing_paper":"/paper/2412.03770"},"observation_digest":"sha256:bbf65b584ff93a5a268761675fabfc8a1db329feb930fb003755aa502f8908ed","observation_id":"34caf3ec-9030-4bef-a4e6-c82c588dfee3","resolution":{"observed_at":"2026-08-11T22:16:36.173396Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:16:36.154525Z","title":"and Valdinoci, E.: Hitchhike r’s guide to the fractional Sobolev spaces, Bull","venue":null,"work_id":"ed9d0e65-e12d-488c-be46-c765956355ca","year":2012},"citing_paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T22:16:35.960517Z"},"links":{"citing_paper":"/paper/2412.03770"},"observation_digest":"sha256:e912269ec58cbae105a31755c71f1f6ae3037de7c6fee4f8a91c9b50ef4d6a43","observation_id":"edf7023d-a54e-4f8c-be28-f5456fe451c3","resolution":{"observed_at":"2026-08-11T22:16:36.159323Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:16:36.140821Z","title":"and Zhou, S.L.: Local boundedness a nd Hölder continuity for the parabolic fractional p-Laplace equations, Calc","venue":null,"work_id":"4b1fb0cd-5ad3-4945-9fd5-8c5056473a2b","year":2021},"citing_paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T22:16:35.964308Z"},"links":{"citing_paper":"/paper/2412.03770"},"observation_digest":"sha256:7ea9c189101331903e433bfc1c1ccd3805aace878f3e77c8b67a5e2d183a38fb","observation_id":"14ea2479-8ec2-4580-ab31-eb170b5ff7cc","resolution":{"observed_at":"2026-08-11T22:16:36.145499Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:16:36.126824Z","title":"and Giusti, E.: On the regularity of the mi nima of variational integrals, Acta Math., 148 (1982), 31–46","venue":null,"work_id":"dfba3efc-538b-436d-828d-1acf3502c15b","year":1982},"citing_paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T22:16:35.968320Z"},"links":{"citing_paper":"/paper/2412.03770"},"observation_digest":"sha256:451ecb848e9fcfab6d23981f3ee1fc9c4d598fdc5ab0f93685d9acea4b317c89","observation_id":"89783e4f-2f87-4706-b94f-9eb2e191716c","resolution":{"observed_at":"2026-08-11T22:16:36.131334Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:16:36.112571Z","title":null,"venue":null,"work_id":"6206c94f-37d8-404a-bc1a-85e0569d6763","year":2003},"citing_paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T22:16:35.972845Z"},"links":{"citing_paper":"/paper/2412.03770"},"observation_digest":"sha256:89700ecf4c70d77678944cb0a72c1c609092cfb2e5b4cd9d03c6aabd77fc7072","observation_id":"5f760a5d-adb6-417d-ac96-23c346b07c2a","resolution":{"observed_at":"2026-08-11T22:16:36.117314Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2303.05975","last_updated":"2024-01-24T21:26:09Z","snapshot_observed_at":"2026-08-19T11:08:15.270722Z","submitted_at":"2023-03-10T15:13:54Z","title":"The parabolic Harnack inequality for nonlocal equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.05975","snapshot_observed_at":"2026-08-11T22:16:35.977628Z","title":"and Weidner, M.: The parabolic Harnack ine quality for nonlocal equations, to appear in Duke J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T22:16:35.977628Z"},"links":{"cited_paper":"/paper/2303.05975","citing_paper":"/paper/2412.03770"},"observation_digest":"sha256:ba8ebc0de5cf4e9d0c7e6fde4c9504cf119fa84efa65afc6f79444769355670b","observation_id":"547b0389-6944-40b9-ad28-b83c0f8cb1a1","resolution":{"observed_at":"2026-08-11T22:16:35.977628Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:16:36.099354Z","title":"and Toledo, J.: Fractional p-L aplacian evolution equations, J","venue":null,"work_id":"88f9fd10-f700-44e8-b224-2643229814ab","year":2016},"citing_paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T22:16:35.982574Z"},"links":{"citing_paper":"/paper/2412.03770"},"observation_digest":"sha256:74aae1402768cf21d1c6040c50176d2dc5d5869bfe22294442cbcdfb5c58d188","observation_id":"1d75ef59-c020-49e9-aab0-785b7a073859","resolution":{"observed_at":"2026-08-11T22:16:36.103645Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:16:36.085163Z","title":"and Tewary, V.: Local boundedness of variati onal solutions to nonlocal double phase parabolic equation s, J","venue":null,"work_id":"201e9b4d-3266-460c-8d3b-6be1a27f6f62","year":2023},"citing_paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T22:16:35.986709Z"},"links":{"citing_paper":"/paper/2412.03770"},"observation_digest":"sha256:767565510e89d70fc9b1da0d3ed32423722f6ae918b6165549ab3f5640fa2a94","observation_id":"faae2ab6-188a-4c96-b50d-0d18c9481915","resolution":{"observed_at":"2026-08-11T22:16:36.089791Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:16:36.071682Z","title":"Diﬀerential Equations , 266 (2019), 7948–7979","venue":null,"work_id":"58a2baf3-058c-4428-b412-7e1080b54507","year":2019},"citing_paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T22:16:35.991624Z"},"links":{"citing_paper":"/paper/2412.03770"},"observation_digest":"sha256:09a84c38840bfef6089e37a6559935d058e08aae6e23c005fe8650cc71c762d1","observation_id":"bc196f68-3497-490b-abc3-f38021faa10d","resolution":{"observed_at":"2026-08-11T22:16:36.075931Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:16:36.058657Z","title":null,"venue":null,"work_id":"6e6cb7b9-3b02-4981-89da-401fe3ba18ad","year":2019},"citing_paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T22:16:35.995581Z"},"links":{"citing_paper":"/paper/2412.03770"},"observation_digest":"sha256:2aca7a2b93ec4430fa4178edffeb38b4f355ada7b8f6b3f40316b52f1ec473f5","observation_id":"3decb199-126a-4717-bebb-7955741efeb7","resolution":{"observed_at":"2026-08-11T22:16:36.063579Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:16:36.044415Z","title":"Diﬀerential Equations , 260 (2016), 6038–6056","venue":null,"work_id":"c79f5621-8014-448a-bb77-0ea63487be29","year":2016},"citing_paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T22:16:35.999438Z"},"links":{"citing_paper":"/paper/2412.03770"},"observation_digest":"sha256:bba784c26fcd6da2f0799d731110d00f2ab198af366ec7c02f47bebd6e473c21","observation_id":"684e5bf9-cda4-4afc-859c-60c092ef2274","resolution":{"observed_at":"2026-08-11T22:16:36.049674Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators"},"reference_resolution":{"displayed":17,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":0,"verified_fuzzy":13},"total_outbound_references":17},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2412.03770."}